Assuming that average refers to the mean which of the follow

Assuming that average refers to the mean, which of the following claims must be true based on this information?

Note: More than one statement could be true. If none of the statements is true, mark the appropriate box.

Last year at least one of their clients had a starting salary of at least $39,000.

Last year some of their clients had a starting salary of more than $36,000.

Last year some of their clients had a starting salary of exactly $39,000.

This year at least one of their clients will have a starting salary of at least $39,000

None of the above statements is true.

A job placement agency advertised that last year its clients, on average, had a starting salary of $39,000.

Assuming that average refers to the mean, which of the following claims must be true based on this information?

Note: More than one statement could be true. If none of the statements is true, mark the appropriate box.

Last year fewer than half of their clients had a starting salary of $39,000 or less. [FALSE, we cannot say this unless we know the distirbution]

Last year at least one of their clients had a starting salary of at least $39,000. [TRUE]

Last year some of their clients had a starting salary of more than $36,000. [TRUE, as the mean is already greater than 36000]

Last year some of their clients had a starting salary of exactly $39,000. [FALSE, the mean need not be an observed value.]

This year at least one of their clients will have a starting salary of at least $39,000 [FALSE. we cannot say for sure what will happen next year.]